## International Conference on $p$-ADIC MATHEMATICAL PHYSICS AND ITS APPLICATIONS $p$-ADICS.2015, 07-12.09.2015, Belgrade, Serbia

﻿ Evgeny Zelenov

### Non-Archimedean quantum chanels

Abstract

A $p$-adic realization of the standard statistical model of quantum mechanics is constructed. Within this realization, a $p$-adic linear bosonic channel is defined, and its properties are analyzed. In particular, a criterion for the existence of a linear Gaussian bosonic channel is obtained, and its explicit construction is described. It is shown that the $p$-adic Gaussian bosonic channels possess an additivity property.